Algebra-1

To find the recursive rule for the sequence defined by  = -5 + (n − 1) × 19, follow these steps:

Identify Parameters from the Explicit Formula:

The explicit formula is  = -5 + (n − 1) × 19.

This represents an arithmetic sequence where:

The initial term  is −5 (when n = 1,  = −5 + (1 − 1) × 19 = −5).

The common difference d is 19 (the coefficient of (n−1)).

Determine the Recursive Formula:

The general recursive formula for an arithmetic sequence is 

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